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Finding the Fourth Proportional to 5,966.40, 8,949.60 and 3,659.20

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Solution

The fourth proportional to 5,966.40, 8,949.60 and 3,659.20 is: 5,488.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.40 : 8,949.60 = 3,659.20 : x
  2. Step 2: Convert to fraction form
    5,966.40/8,949.60 = 3,659.20/x
  3. Step 3: Cross multiply
    5,966.40x = 8,949.60 × 3,659.20
  4. Step 4: Simplify right side
    5,966.40x = 32,748,376.32
  5. Step 5: Solve for x
    x = 32,748,376.32/5,966.40
  6. Step 6: Final answer
    x = 5,488.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.